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Finding the Fourth Proportional to 14,609.14, 21,897.91 and 5,834.41

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Solution

The fourth proportional to 14,609.14, 21,897.91 and 5,834.41 is: 8,745.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,609.14 : 21,897.91 = 5,834.41 : x
  2. Step 2: Convert to fraction form
    14,609.14/21,897.91 = 5,834.41/x
  3. Step 3: Cross multiply
    14,609.14x = 21,897.91 × 5,834.41
  4. Step 4: Simplify right side
    14,609.14x = 127,761,385.08
  5. Step 5: Solve for x
    x = 127,761,385.08/14,609.14
  6. Step 6: Final answer
    x = 8,745.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.